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21 Jun 2019, 00:33
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
75% (01:13) correct
25%
(01:19)
wrong
based on 117
sessions
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If the LCM of two integers a, b (where b> a and a>1) is a*b, then which of the following can not be true?
A. Both a and b can be Prime Numbers.
B. Both a and b can be consecutive integers.
C. All Prime factors of a must be Prime factors of b.
D. a and b do not share any Prime factors.
E. a and b do not have a common factor
A. Both a and b can be Prime Numbers.
B. Both a and b can be consecutive integers.
C. All Prime factors of a must be Prime factors of b.
D. a and b do not share any Prime factors.
E. a and b do not have a common factor
21 Jun 2019, 00:43
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Bunuel
a*b=LCM(a,b)*HCF(a,b)
As per stem HCF = 1; So A,B,D,E are ruled out. IMO C
21 Jun 2019, 01:32
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Bunuel
LCM of 2 numbers a & b = a*b is only possible if a & b have no common factors
or HCF(a, b) = 1
A. Both a and b can be Prime Numbers. - TRUE (No 2 prime numbers have common factors)
B. Both a and b can be consecutive integers. - TRUE (No 2 consecutive integers will have any common factors. Eg: (2, 3), (5, 6), (10, 11) etc.)
C. All Prime factors of a must be Prime factors of b. - NOT TRUE (There can't be any common factors, Either prime or non prime)
D. a and b do not share any Prime factors. - TRUE (There can't be any common factors)
E. a and b do not have a common factor - TRUE (As of D)
IMO Option C
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